Locating Reactions using 2-Categories
Sassone, V. and Sobocinski, P. (2005) Locating Reactions using 2-Categories. Theoretical Computer Science, 333, (1-2), 297-327.
Groupoidal relative pushouts (GRPOs) have recently been proposed by the authors as a new foundation for Leifer and Milner's approach to deriving labelled bisimulation congruences from reduction systems. In this paper, we develop the theory of GRPOs further, proving that well-known equivalences, other than bisimulation, are congruences. To demonstrate the type of category theoretic arguments which are inherent in the 2-categorical approach, we construct GRPOs in a category of `bunches and wirings.' Finally, we prove that the 2-categorical theory of GRPOs is a generalisation of the approaches based on Milner's precategories and Leifer's functorial reactive systems.
|Keywords:||bisimulation congruences, reduction systems, transition systems, coinduction principles, bigraphs, bunches, 2-categories, bicategories|
|Divisions:||Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Web & Internet Science
Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Electronic & Software Systems
|Date Deposited:||27 Jan 2006|
|Last Modified:||27 Mar 2014 20:04|
|Further Information:||Google Scholar|
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